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Finding the Third Proportional to 41,968.13 and 96,650.72

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Solution

The third proportional to 41,968.13 and 96,650.72 is: 222,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,968.13 : 96,650.72 = 96,650.72 : x
  2. Step 2: Convert to fraction form
    41,968.13/96,650.72 = 96,650.72/x
  3. Step 3: Cross multiply
    41,968.13x = 96,650.72 × 96,650.72
  4. Step 4: Simplify right side
    41,968.13x = 9,341,361,434.89
  5. Step 5: Solve for x
    x = 9,341,361,434.89/41,968.13
  6. Step 6: Final answer
    x = 222,582.29

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.